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Finding the Third Proportional to 258,149 and 379,609

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Solution

The third proportional to 258,149 and 379,609 is: 558,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,149 : 379,609 = 379,609 : x
  2. Step 2: Convert to fraction form
    258,149/379,609 = 379,609/x
  3. Step 3: Cross multiply
    258,149x = 379,609 × 379,609
  4. Step 4: Simplify right side
    258,149x = 144,102,992,881
  5. Step 5: Solve for x
    x = 144,102,992,881/258,149
  6. Step 6: Final answer
    x = 558,216.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.